Near integrability of kink lattice with higher order interactions
文献类型：期刊论文
| 作者 | Jiang, YG (reprint author), Shandong Univ Weihai, Sch Space Sci & Phys, Weihai 264209, Peoples R China.; Jiang, YG; Liu, JZ; He, S ; Jiang, YG (reprint author), Shandong Univ, Shandong Prov Key Lab Opt Astron & Solar Terr Env, Inst Space Sci, Weihai 264209, Peoples R China.
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| 刊名 | CHINESE PHYSICS C
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| 出版日期 | 2017 |
| 卷号 | 41期号:11页码:113107 |
| 关键词 | Integrable System Soliton Toda Lattice |
| DOI | http://dx.doi.org/10.1088/1674-1137/41/11/113107 |
| 英文摘要 | We make use of Manton's analytical method to investigate the force between kinks and anti-kinks at large distances in 1+1 dimensional field theory. The related potential has infinite order corrections of exponential pattern, and the coefficients for each order are determined. These coefficients can also be obtained by solving the equation of the fluctuations around the vacuum. At the lowest order, the kink lattice represents the Toda lattice. With higher order correction terms, the kink lattice can represent one kind of generic Toda lattice. With only two sites, the kink lattice is classically integrable. If the number of sites of the lattice is larger than two, the kink lattice is not integrable but is a near integrable system. We make use of Flaschka's variables to study the Lax pair of the kink lattice. These Flaschka's variables have interesting algebraic relations and non-integrability can be manifested. We also discuss the higher Hamiltonians for the deformed open Toda lattice, which has a similar result to the ordinary deformed Toda. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/21940]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Jiang, YG (reprint author), Shandong Univ Weihai, Sch Space Sci & Phys, Weihai 264209, Peoples R China.; Jiang, YG (reprint author), Shandong Univ, Shandong Prov Key Lab Opt Astron & Solar Terr Env, Inst Space Sci, Weihai 264209, Peoples R China. |
| 推荐引用方式 GB/T 7714 | Jiang, YG ,Jiang, YG,Liu, JZ,et al. Near integrability of kink lattice with higher order interactions[J]. CHINESE PHYSICS C,2017,41(11):113107. |
| APA | Jiang, YG ,Jiang, YG,Liu, JZ,He, S,&Jiang, YG .(2017).Near integrability of kink lattice with higher order interactions.CHINESE PHYSICS C,41(11),113107. |
| MLA | Jiang, YG ,et al."Near integrability of kink lattice with higher order interactions".CHINESE PHYSICS C 41.11(2017):113107. |
入库方式： OAI收割
来源：理论物理研究所
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